Describing Transformations on Absolute value functions

Which of the following would make the absolute value graph WIDER (i.e. vertically compressed)?

• y = | x + 4 |

• y = 1/4 | x |

• y = 4 | x |

• y = | x | - 4

Which of the following would make the absolute value graph SKINNIER (i.e. vertically stretched)? SELECT ALL.

• y = 2 | x |

• y = 1/4 | x |

• y = - 4 | x |

• y = - 0.5 | x |

Which of the following would be a reflection over the x-axis? SELECT ALL.

• y = 2 | x |

• y = 1/4 | x |

• y = - 4 | x |

• y = - 0.5 | x |

Which of the following would make the absolute value graph shift down?

• y = | x + 4 |

• y = 1/4 | x |

• y = - 4 | x |

• y = | x | - 4

Describe the transformation of the equation below:

y = I x + 3 I

• Left 3

• Right 3

• Up 3

• Down 3

Describe the transformation of the equation below:

y = I x - 2 I + 4

• Left 2 up 4

• Right 2 up 4

• Left 2 down 4

• Right 2 down 4

Tags

2a.6c

Tags

2a.6c

Write an absolute value function, g(x), given the following transformations from the parent function:

Reflection across the x-axis

Horizontal shift right 2 units

Vertical shift down 7 units

Describe the transformation of the equation below from the parent function of f(x) = I x I
g(x) = -2 I x - 3 I + 3

• reflected over x axis, vertically stretched by a factor of 2, right 3, up 3

• reflected over x axis, vertically stretched by a factor of 2, left 3, up 3

• reflected over x axis, vertically compressed by a factor of 2, right 3, up 3

• reflected over the x axis, vertically compressed by a factor of 2, left 3, up 3